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Question

The equation of bisectors of the angles between the lines |x|=|y| are


A

y=±x&x=0

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B

x=12&y=12

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C

y=0&x=0

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D

None of these

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Solution

The correct option is C

y=0&x=0


Finding the equation of bisectors of the angles:

The given equation is

|x|=|y|

We know that

x=xifx>0-xifx<0

So, we can write

|y|=±xy=xory=-x

Now graphing these two equations

Therefore, from the figure,

We can see that the angle bisector of y=x and y=-x is x-axis and y-axis

Then the equation of the y-axis is x=0

The equation of x-axis is y=0

Hence, option (C) is the correct answer.


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